100301221211031 has 32 divisors (see below), whose sum is σ = 157390321106880. Its totient is φ = 62912070724608.

The previous prime is 100301221210979. The next prime is 100301221211033. The reversal of 100301221211031 is 130112122103001.

100301221211031 is a `hidden beast` number, since 1 + 0 + 0 + 301 + 221 + 2 + 110 + 31 = 666.

It is not a de Polignac number, because 100301221211031 - 2²³ = 100301212822423 is a prime.

It is a super-2 number, since 2×100301221211031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100301221210995 and 100301221211013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100301221211033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36931756 + ... + 39554481.

It is an arithmetic number, because the mean of its divisors is an integer number (4918447534590).

Almost surely, 2^{100301221211031} is an apocalyptic number.

100301221211031 is a deficient number, since it is larger than the sum of its proper divisors (57089099895849).

100301221211031 is a wasteful number, since it uses less digits than its factorization.

100301221211031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76489120 (or 76489114 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 100301221211031 its reverse (130112122103001), we get a palindrome (230413343314032).

The spelling of 100301221211031 in words is "one hundred trillion, three hundred one billion, two hundred twenty-one million, two hundred eleven thousand, thirty-one".